Least Common Multiple of 320/440, 537/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/440, 537/616 quickly i.e. 171840/88 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/440, 537/616 is 171840/88.

LCM(320/440, 537/616) = 171840/88

LCM of 320/440, 537/616

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 320/440,537/616

Given numbers are 320/440,537/616

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 320,537

Least Common Multiple of Numerators i.e. LCM of 320,537 is 171840.

GCF of Denominators means GCF of 440,616 as per the given fractions.

GCF of 440,616 is 88 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,537

LCM of Fractions 320/440,537/616 is 171840/88

Given numbers has no common factors except 1. So, there LCM is their product i.e 171840

Least Common Multiple of 320,537 with GCF Formula

Least Common Multiple of 320,537 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 320,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,537) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(320,537) x common factors =1 x 1 = 1

LCM(320,537) = ( 320 × 537 ) / 1

LCM(320,537) = 171840 / 1

LCM(320,537) = 171840


Lets's calculate GCF of 440,616

2 440, 616
2 220, 308
2 110, 154
11 55, 77
5, 7

∴ So the GCF of the given numbers is 2 x 2 x 2 x 11 = 88

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171840/88

Therefore the LCM of Fractions 320/440,537/616 is 171840/88

Greatest Common Factor of 440,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,616 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 440,616 . The biggest common factor number is the GCF number.
So the greatest common factor 440,616 is 88.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 320/440, 537/616

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 320/440, 537/616?

Answer: LCM of Numerators as per given numbers 320/440, 537/616 is

LCM of Numerators i.e. for 320,537 is 171840

GCF of denominators i.e. for 440,616 is 88.

Thus, LCM of Fractions is 171840/88.Finally, LCM of Fractions for 320/440, 537/616 is 171840/88.